Question

An angle is ( 1/5)th of its complement. Find the angles.

Answer 1

Let the angle be x.
Therefore it's complement=(90-x)
Now, according to the question,
x=1/5(90-x)
or x=18-x/5
or x+x/5=18
or 6x/5=18
or 6x=90
Therefore, x=15
Hence the measure of the required angle is 15.